Question

Certain number of persons can complete a work in 100 days. If 10 persons were less, it would have taken 10 days more for the work to be completed. Number of persons in the beginning is

• A. 100
• B. 90
• C. 110
• D. None of these

Answer 1

The correct option is C 110

Let the person in beginning be $x$

Then according to question,

$x$ peron do the work in $100$ days

$x\times \left(100\right)=(x-10)\times \left(110\right)$

$100x=110x-1100$

$⟹10x=1100⟹x=110$